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11319912 = 2337647
BaseRepresentation
bin101011001011…
…101001101000
3210022010000000
4223023221220
510344214122
61042343000
7165134442
oct53135150
923263000
1011319912
1164318aa
12395aa60
132464596
141709492
15ed90ac
hexacba68

11319912 has 64 divisors (see below), whose sum is σ = 31881600. Its totient is φ = 3767472.

The previous prime is 11319901. The next prime is 11319923. The reversal of 11319912 is 21991311.

11319912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11319901) and next prime (11319923).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17173 + ... + 17819.

It is an arithmetic number, because the mean of its divisors is an integer number (498150).

Almost surely, 211319912 is an apocalyptic number.

11319912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11319912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15940800).

11319912 is an abundant number, since it is smaller than the sum of its proper divisors (20561688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11319912 is an frugal number, since it uses more digits than its factorization.

11319912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 652 counting only the distinct ones).

The product of its digits is 486, while the sum is 27.

The square root of 11319912 is about 3364.5076905842. The cubic root of 11319912 is about 224.5334331816.

The spelling of 11319912 in words is "eleven million, three hundred nineteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 647 648 729 972 1294 1458 1941 1944 2187 2588 2916 3882 4374 5176 5823 5832 7764 8748 11646 15528 17469 17496 23292 34938 46584 52407 69876 104814 139752 157221 209628 314442 419256 471663 628884 943326 1257768 1414989 1886652 2829978 3773304 5659956 11319912